The purpose of this activity is to engage students in using counting strategies, images and/or materials to solve a problem.
In readiness for this problem, the students should have familiarity with each of the following components of mathematics. The problem may be solved with different combinations of these components.
- Finding information needed from a context
- Using images to represent a problem
- Using materials to represent a problem
- Using counting on strategies
- Counting forward to find an unknown
This activity may be carried out with guidance, or by allowing the student to follow their own method of solution. It should be noted that students may need assistance to explore the context. It may not be immediately obvious that a game of football comprises two opposing teams. The level and style of guidance provided, should be chosen in sympathy with students’ skills and depth of understanding.
The visual approach (show more)
- The student is able to represent, visually, the information given in order to solve a problem.
Prompts from the teacher could be:
- How could you show the three fields?
- How many teams can at the same time on these fields?
- How many players are on each team?
- How could you show one player?
- How many of those players are year one students?
- How many of those players are year two students?
The conceptual approach (show more)
- The student is able to use the information provided to solve a problem.